Geodesic
Bergelson's theorem for weakly mixing $C^*$-dynamical systems
Rocco Duvenhage 1
1 Department of Mathematics and Applied Mathematics (Current address: Department of Physics) University of Pretoria Pretoria 0002, South Africa
Studia Mathematica, Tome 192 (2009) no. 3, pp. 235-257 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study a nonconventional ergodic average for asymptotically abelian weakly mixing $C^*$-dynamical systems, related to a second iteration of Khinchin's recurrence theorem obtained by Bergelson in the measure-theoretic case. A noncommutative recurrence theorem for such systems is obtained as a corollary.
DOI : 10.4064/sm192-3-3
Keywords: study nonconventional ergodic average asymptotically abelian weakly mixing * dynamical systems related second iteration khinchins recurrence theorem obtained bergelson measure theoretic noncommutative recurrence theorem systems obtained corollary

Rocco Duvenhage  1

1 Department of Mathematics and Applied Mathematics (Current address: Department of Physics) University of Pretoria Pretoria 0002, South Africa 
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 $C^*$-dynamical systems},
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 $C^*$-dynamical systems
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 $C^*$-dynamical systems
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Rocco Duvenhage. Bergelson's theorem for weakly mixing
 $C^*$-dynamical systems. Studia Mathematica, Tome 192 (2009) no. 3, pp. 235-257. doi: 10.4064/sm192-3-3

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